456640000 has 100 divisors (see below), whose sum is σ = 1140919164. Its totient is φ = 182528000.

The previous prime is 456639973. The next prime is 456640007. The reversal of 456640000 is 46654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456640007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319287 + ... + 320713.

Almost surely, 2^456640000 is an apocalyptic number.

456640000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570459582).

456640000 is an abundant number, since it is smaller than the sum of its proper divisors (684279164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456640000 is an frugal number, since it uses more digits than its factorization.

456640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 456640000 is about 21369.1366227089. The cubic root of 456640000 is about 770.0601515948.

Adding to 456640000 its reverse (46654), we get a palindrome (456686654).

The spelling of 456640000 in words is "four hundred fifty-six million, six hundred forty thousand".